Topological Structure of Robust Control Systems

• TSUMURA Kouji

  Department of Mathematical Engineering and Information Physics, The University of Tokyo

• KITAMURA Masafumi

  4th Public Administration Division, NTT Data Corporation

Bibliographic Information

Other Title

• ロバスト制御システムの位相構造について
• ロバスト セイギョ システム ノ イソウ コウゾウ ニ ツイテ

Abstract

This paper gives a necessary and sufficient condition for the well-posedness by using inclusion condition of uncertainty, and also gives a set of all the systems corresponding to the uncertainty with which a closed loop system is well-posed. Furthermore, we analyze the topology of systems based on the well-posedness. We give the number of the connected components of the set of uncertainty in the cases of complex matrix uncertainty and 2×2 real matrix uncertainty.

Journal

• Transactions of the Society of Instrument and Control Engineers

  Transactions of the Society of Instrument and Control Engineers 35 (4), 496-505, 1999

  The Society of Instrument and Control Engineers

Keywords

• well-posedness
• robust control
• uncertainty
• topological analysis
• LFT

Details

• CRID: 1390001204501140608
• NII Article ID: 10002481697
• NII Book ID: AN00072392
• DOI: 10.9746/sicetr1965.35.496
• ISSN: 18838189
• ISSN: 04534654
• NDL BIB ID: 4715542
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4715542
• Web Site: https://www.jstage.jst.go.jp/article/sicetr1965/35/4/35_4_496/_pdf
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed